Make r the subject of the formula

[tex]v = mg \sqrt{(1 - r {}^{2}) } [/tex]
​

Answer:

10 hours and 30 minutes.

Step-by-step explanation:

Hope it helps

Answer:

Skewed right

Step-by-step explanation:

Answer:

Skew right... Glad to help

The side a = 65.19 approximately to two decimal places using the cosine rule.

In trigonometry, the cosines rule relates the lengths of the sides of a triangle to the cosine of one of its angles.

Considering the ∆ABC, line a is calculated with cosine rule as follows;

a² = b² + c² - 2(b)(c)cosA

a² = 35² + 31² - 2(35)(31)cos162°

a² = 1225 + 961 + 2063.7926

a² = 4249.7926 {take square root of both sides}

a = 65.1904

With proper application of the cosine rule, we can conclude the value of the side a of the triangle ABC is approximately 65.19 to 2 decimal place.

Know more about cosine rule here: https://brainly.com/question/4372174

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Answer:

It's a Right angled triangle

Let the number of girls be x.

According to the question,

[tex] \implies \: \dfrac{5}{6} = \dfrac{20}{x} [/tex]

[tex] \implies \: 5x = 20 \times 6[/tex]

[tex] \implies \: 5x = 120[/tex]

[tex] \implies \: x = \cancel\dfrac{120}{5} [/tex]

[tex] \implies \: x = 24[/tex]

[tex] \cal \therefore \: Number \: of \: girls \: are \: 24.[/tex]

Now,

Pupils in the class = Boys + Girls

[tex] \rightarrow20 + 24[/tex]

[tex] \rightarrow44[/tex]

Total number of pupils are 44 .

Answer:

7 quarts

Step-by-step explanation:

16 fl oz = 2 cups. 14 people went on the ride which means there were 28 cups drinken in all. 28/4 = 7

13 21 12 20 the are of the tiangle is 252 u2

Answer:

B.

Step-by-step explanation:

Center is the point that does not change and that point is A. To find the scale factor you just divide the translated length by the original, in this case, 8÷2 which gives a scale factor of 4.

Answer:

176degrees

Step-by-step explanation:

Find the diagram attached. From the diagram;

arcGC  = = arc BG

5x + 28 = 9x - 20

5x - 9x = -20  28

-4x = -48

x = -48/-4

x = 12

Get <AB

Since <AB = <BC

<BC = arcGC +arc BG

<AB = arcGC+ arc BG

<AB = 5x + 28 + 9x - 20

<AB = 14x + 8

<AB = 14(12) + 8

<AB = 168 + 8

<AB = 176degrees

Hence the arc AB is 176degrees

Answer:

B.

Step-by-step explanation:

The answer is B because 3/5 of 1/2 is less than 1/2. The equation that represents this problem is

3/5 x 1/2 = 3/10

3/10 < 1/2

Therefore, 3/5 is less than 1/2!

Answer:

3/2

Step-by-step explanation:

Truthfully, you only need two points for a linear equation, so I will only use two.

(-5, 0)

(-3, 3)

I will use the skeleton method to find the slope

((0) - (3))/((-5) - (-3)) -> -3/-2

The slope is 3/2

Answer:

The test statistic is z = 2.7.

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Step-by-step explanation:

The average size of a new house built in a Hays county in 2010 was 1,872 square feet. Evidence that it has increased?

This means that the null hypothesis is:

[tex]H_0: \mu = 1872[/tex]

And the alternate hypothesis is:

[tex]H_a: \mu > 1872[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

1872 is tested at the null hypothesis:

This means that [tex]\mu = 1872[/tex]

Sample of 40. The average square footage was 2,031 with a standard deviation of 373 square feet.

This means that [tex]n = 40, X = 2031, \sigma = 373[/tex]

Value of the test-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{2031 - 1872}{\frac{373}{\sqrt{40}}}[/tex]

[tex]z = 2.7[/tex]

Pvalue and decision:

The pvalue of the test is the probability of finding a sample mean above 2031. This is 1 subtracted by the pvalue of z = 2.7.

Looking at the z-table, z = 2.7 has a pvalue of 0.9965

1 - 0.9965 = 0.0035

The pvalue of the test is 0.0035 < 0.05, which means that this sample provides enough evidence to conclude that the average house size has increased in the Hays County since 2010.

Answer:

40/100

Step-by-step explanation:

4/10 can be made into an equivalent fraction by multiplying each number by 10. This is because we need to change the denominator into 100 and 10x10=100.

10(4/10)=40/100

40/100 is the answer

Hope this helps!

Answer:

Step-by-step explanation:

Answer is A i ran it through my phone

Answer:

Area≈137.965≈138

Step-by-step explanation:

Answer:

70,176

Step-by-step explanation:

Given that

482 - 412 + 286 - 12 × 204

We need to solve the above equation

= 482 - 412 + 286 - 12 × 204

= 70 + 286 - 12 × 204

= 356 - 12 × 204

= 344 × 204

= 70,176

Hence, the answer to the given equation is 70,176

The same is to be considered and relevant

Answer:

C

Step-by-step explanation:

divide 14 by 4 to solve it, you get 3.5 or 3 1/2

Answer:

A) 20%.

B) 26.66%.

C)  40%.

Step-by-step explanation:

Since at the Virgin Music store in Times Square, 60 people entering the store were selected at random and were asked to choose their favorite type of music, and of the 60, 12 chose rock, 16 chose country, 8 chose classical, and 24 chose something other then rock, country, or classical, to determine the empirical probability that the next person entering the store favors (a) rock music, (b) country music, and (c) something other then rock, country, or classical music, the following calculation must be performed:

A)

60 = 100

12 = X

12 x 100/60 = X

1200/60 = X

20 = X

Therefore, the probability that the next person favors rock music is 20%.

B)

60 = 100

16 = X

16 x 100/60 = X

1600/60 = X

26.66 = X

Therefore, the probability that the next person favors country music is 26.66%.

C)

60 = 100

24 = X

24 x 100 / 60 = X

2400 / 60 = X

40 = X

Therefore, the probability that the next person favors another type of music is 40%.

Answer:

Area of sector of a circle = 28.26 meter²

Step-by-step explanation:

Given:

Side of cube = 12 meter

One white section = sector of a circle

Find:

Area of one white section

Computation:

Radius of circle = Side of cube / 2

Radius of circle = 12 / 2

Radius of circle = 6 meter

One white section = sector of a circle

Area of sector of a circle = [θ/360][π][r]²

Area of sector of a circle = [90/360][22/7][6]²

Area of sector of a circle = [0.25][3.14][36]

Area of sector of a circle = 28.26 meter²

Answer:

73,000

Step-by-step explanation:

1458*50=72000

Answer:

73,000

Step-by-step explanation:

Answer:

h = 0.4 inches

Step-by-step explanation:

Given that,

The volume of the pyramid is 8 in³.

The sides of the pyramid are 5 in and 4 in.

We need to find the height of the pyramid.

The formula for the volume of pyramid is given by :

V = lbh

Where h is the height of the pyramid

So,

[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{8}{5\times 4}\\\\h=0.4\ in[/tex]

So, the height of the pyramid is 0.4 inches.

Answer: (40x)+500

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

First divide 200 by 1.6 which will give you 125

Then divide 125 by 30 which will give you 4

Step-by-step explanation:

too long

Answer:

do you have a ilnk i cant understand

Step-by-step explanation:

Answer:

Answer D) B, C, and D

Step-by-step explanation:

Point D is 2 and point B is -2, meaning they are opposites of each other. Point C is 0, which is it's own opposite